Pith Number

pith:RJG2M2WP

pith:2013:RJG2M2WPPDV3RQZTUG3NHBPWKR

not attested not anchored not stored refs pending

Ascent properties for derived functors

Sean Sather-Wagstaff

arxiv:1302.4151 v1 · 2013-02-18 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJG2M2WPPDV3RQZTUG3NHBPWKR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:33:23.970761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4da66acf78ebb8c333a1b6d385f65465fce45e88003a89b0aa941663327bd9

Aliases

arxiv: 1302.4151 · arxiv_version: 1302.4151v1 · doi: 10.48550/arxiv.1302.4151 · pith_short_12: RJG2M2WPPDV3 · pith_short_16: RJG2M2WPPDV3RQZT · pith_short_8: RJG2M2WP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RJG2M2WPPDV3RQZTUG3NHBPWKR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8a4da66acf78ebb8c333a1b6d385f65465fce45e88003a89b0aa941663327bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "881f7f0960a62efc5cb6c4f38b55e9745e2fea8b0eee7d89c017f87da68dfec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-18T02:38:11Z",
    "title_canon_sha256": "b1d234bcc26abde4b7004cc49a6da8a5f29f0d42abc6f92cc0d55becee0f478b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4151",
    "kind": "arxiv",
    "version": 1
  }
}